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Finding the Third Proportional to 377,381 and 824,746

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Solution

The third proportional to 377,381 and 824,746 is: 1,802,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,381 : 824,746 = 824,746 : x
  2. Step 2: Convert to fraction form
    377,381/824,746 = 824,746/x
  3. Step 3: Cross multiply
    377,381x = 824,746 × 824,746
  4. Step 4: Simplify right side
    377,381x = 680,205,964,516
  5. Step 5: Solve for x
    x = 680,205,964,516/377,381
  6. Step 6: Final answer
    x = 1,802,438.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.